Moving on to Question 3, If the third digit
of an acceptable product code is not 0, which
one of the following must be true?
Again, we have two possibilities here. We're saying that the third digit is not 0. So drawing
out two possibilities.
In Scenario 1 our options for the third spot are 0 and 3. If it's not 0 it's going to be
3. Since the fifth digit must be greater than the third digit, or the third digit must be
less than the value of the fifth digit, we
know that 4 must be fifth. We know 1 and 2
would be first and second, which puts 0 in
What about for option 2? In option 2 our options for the third spot are 0 and 1. The stem from
Question 3 is telling us it's not 0 so it
must 1. We know 2 and 4 now are going to be
first and second. We know that the third digit is less than the value of the fifth digit.
The only 2 digits remaining are 0 and 3, which means 3 has to go fifth and 0 comes fourth.
Again, we're looking for what must be true. So Let's take a look:
(A), the second digit of the product code
is 2. That's definitely possible in our
first scenario, but it doesn't have to be
true because in scenario 2 the second digit
is 4. So (A) is not necessarily true and (A)
(B), the third digit of the product code
is 3. In scenario 1 that's true, but in
scenario 2 it's 1, so (B) doesn't have to
true and (B) is out.
(C), the fourth digit of the product code
is 0. You notice, in both of our scenarios
here, 0 is the fourth digit. (C) must be true
and (C) would be the correct answer.